fix: publish docs workflow cname and steps

.github/workflows/publish-docs.yml

@@ -15,7 +15,7 @@ permissions:
   contents: write
 
 jobs:
-  publish-docs:
+  build-docs:
     runs-on: ubuntu-latest
     steps:
       - name: Checkout the code
@@ -32,3 +32,24 @@ jobs:
       - name: Publish the documentation
         run: |
           mkdocs gh-deploy --force --message "cd: deploy docs from {sha}"
+
+  publish-docs:
+    runs-on: ubuntu-latest
+    needs: build-docs
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+        with:
+          ref: gh-pages
+
+      - name: Setup pages
+        uses: actions/configure-pages@v5
+
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: "."
+
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4